1 + tan^2x =
To simplify the expression 1 + tan^2x, we can use the Pythagorean identity for trigonometric functions, which states that 1 + tan^2(x) = sec^2(x)
To simplify the expression 1 + tan^2x, we can use the Pythagorean identity for trigonometric functions, which states that 1 + tan^2(x) = sec^2(x).
The Pythagorean identity for tangent is tan^2(x) + 1 = sec^2(x). By rearranging this equation, we get 1 + tan^2(x) = sec^2(x).
Therefore, 1 + tan^2x simplifies to sec^2x.
In summary, 1 + tan^2x is equivalent to sec^2x.
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